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Finding the Fourth Proportional to 6,297.65, 8,690.38 and 3,464.92

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Solution

The fourth proportional to 6,297.65, 8,690.38 and 3,464.92 is: 4,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.65 : 8,690.38 = 3,464.92 : x
  2. Step 2: Convert to fraction form
    6,297.65/8,690.38 = 3,464.92/x
  3. Step 3: Cross multiply
    6,297.65x = 8,690.38 × 3,464.92
  4. Step 4: Simplify right side
    6,297.65x = 30,111,410.69
  5. Step 5: Solve for x
    x = 30,111,410.69/6,297.65
  6. Step 6: Final answer
    x = 4,781.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.